State tax filing

I suspect I don't need it in the actual tax return because I will be doing the standard deduction. However, I was thinking I need it to file electronically or to check on my refund from the state. I believe it asks me what my last year's refund was to verify my identity. Do you know if I need it for either e-filing or for checking on my refund?

 

And I was also wondering if there is a way to get my full refund from last year and correct what I believe was a mistake on the state's side.